ExplanationTo solve this question, remember that for every space the decimal in the base number moves to right, the power of ten should decrease by 1, and vice versa.
For choice (A), \(1000^{13} = 10^{15}\), so the decimal should not have moved.
In choice (B), moving the decimal 1 space to the right means that \(10^{15}\) should decrease by 1 to become \(10^{14}\).
Eliminate choices (A) and (B).
For choice (C), moving the decimal 1 space to the left means that the power should increase by 1; this is correct.
For choice (D), \(100^{14}\) is equivalent to \(10^{15}\), so this is correct.
For choice (E), moving the decimal 4 spaces to the left means that the power should increase by 4; this is not correct.
The correct answers are (C), (D).
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